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Finding the Fourth Proportional to 390,132, 538,382.16 and 211,284

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Solution

The fourth proportional to 390,132, 538,382.16 and 211,284 is: 291,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,132 : 538,382.16 = 211,284 : x
  2. Step 2: Convert to fraction form
    390,132/538,382.16 = 211,284/x
  3. Step 3: Cross multiply
    390,132x = 538,382.16 × 211,284
  4. Step 4: Simplify right side
    390,132x = 113,751,536,293.44
  5. Step 5: Solve for x
    x = 113,751,536,293.44/390,132
  6. Step 6: Final answer
    x = 291,571.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.